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Finding the Fourth Proportional to 42.06, 57.78 and 34.77

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Solution

The fourth proportional to 42.06, 57.78 and 34.77 is: 47.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 57.78 = 34.77 : x
  2. Step 2: Convert to fraction form
    42.06/57.78 = 34.77/x
  3. Step 3: Cross multiply
    42.06x = 57.78 × 34.77
  4. Step 4: Simplify right side
    42.06x = 2,009.01
  5. Step 5: Solve for x
    x = 2,009.01/42.06
  6. Step 6: Final answer
    x = 47.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.